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2325196075104 = 2537717432151
BaseRepresentation
bin100001110101100000011…
…111000111000001100000
322020021201220122010000000
4201311200133013001200
5301044000143400404
64540102541300000
7326663345351340
oct41654037070140
98207656563000
102325196075104
11817123626251
1231677b564600
1313b35a40b156
148077c018d20
154073c690339
hex21d607c7060

2325196075104 has 1152 divisors, whose sum is σ = 8561918453760. Its totient is φ = 606677299200.

The previous prime is 2325196075091. The next prime is 2325196075123. The reversal of 2325196075104 is 4015706915232.

2325196075104 is a `hidden beast` number, since 2 + 3 + 2 + 519 + 60 + 75 + 1 + 0 + 4 = 666.

It is a super-2 number, since 2×23251960751042 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2325196075104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15398649429 + ... + 15398649579.

It is an arithmetic number, because the mean of its divisors is an integer number (7432220880).

Almost surely, 22325196075104 is an apocalyptic number.

2325196075104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2325196075104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4280959226880).

2325196075104 is an abundant number, since it is smaller than the sum of its proper divisors (6236722378656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2325196075104 is an equidigital number, since it uses as much as digits as its factorization.

2325196075104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 2325196075104 in words is "two trillion, three hundred twenty-five billion, one hundred ninety-six million, seventy-five thousand, one hundred four".